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Class java.vecmath.Matrix3d

java.lang.Object
   |
   +----java.vecmath.Matrix3d

public class Matrix3d
extends Object

A double precision floating point 3 by 3 matrix. Primarily to support rotations

m00: The matrix element that maps x into x'.
m01: The matrix element that maps y into x'.
m02: The matrix element that maps z into x'.
m10: The matrix element that maps x into y'.
m11: The matrix element that maps y into y'.
m12: The matrix element that maps z into y'.
m20: The matrix element that maps x into z'.
m21: The matrix element that maps y into z'.
m22: The matrix element that maps z into z'.

Matrix3d(): Constructs and initializes a Matrix3d to all zeros.
Matrix3d(double, double, double, double, double, double, double, double, double): Constructs and initializes a Matrix3d from the specified nine values.
Matrix3d(double[]): Constructs and initializes a Matrix3d from the specified nine- element array.
Matrix3d(Matrix3d): Constructs a new matrix with the same values as the Matrix3d parameter.
Matrix3d(Matrix3f): Constructs a new matrix with the same values as the Matrix3f parameter.

add(Matrix3d): Sets the value of this matrix to the sum of itself and matrix m1.
add(Matrix3d, Matrix3d): Sets the value of this matrix to the matrix sum of matrices m1 and m2.
determinant(): Computes the determinant of this matrix.
epsilonEquals(Matrix3d, double): Returns true if the L-infinite distance between this matrix and matrix m1 is less than or equal to the epsilon parameter, otherwise returns false.
equals(Matrix3d): Returns true if all of the data members of Matrix3d m1 are equal to the corresponding data members in this Matrix3d.
getElement(int, int): Retrieves the value at the specified row and column of the specified matrix.
hashCode(): Returns a hash number based on the data values in this object.
invert(): Inverts this matrix in place.
invert(Matrix3d): Sets the value of this matrix to the matrix inverse of the passed matrix m1.
mul(Matrix3d): Sets the value of this matrix to the result of multiplying itself with matrix m1.
mul(Matrix3d, Matrix3d): Sets the value of this matrix to the result of multiplying the two argument matrices together.
mulNormalize(Matrix3d): Multiplies this matrix by matrix m1, does an SVD normalization of the result, and places the result back into this matrix this = SVDnorm(this*m1).
mulNormalize(Matrix3d, Matrix3d): Multiplies matrix m1 by matrix m2, does an SVD normalization of the result, and places the result into this matrix this = SVDnorm(m1*m2).
mulTransposeBoth(Matrix3d, Matrix3d): Multiplies the transpose of matrix m1 times the transpose of matrix m2, and places the result into this.
mulTransposeLeft(Matrix3d, Matrix3d): Multiplies the transpose of matrix m1 times matrix m2, and places the result into this.
mulTransposeRight(Matrix3d, Matrix3d): Multiplies matrix m1 times the transpose of matrix m2, and places the result into this.
negate(): Negates the value of this matrix: this = -this.
negate(Matrix3d): Sets the value of this matrix equal to the negation of of the Matrix3d parameter.
normalize(): Performs singular value decomposition normalization of this matrix.
normalize(Matrix3d): Perform singular value decomposition normalization of matrix m1 and place the normalized values into this.
normalizeCP(): Perform cross product normalization of this matrix.
normalizeCP(Matrix3d): Perform cross product normalization of matrix m1 and place the normalized values into this.
rotX(double): Sets the value of this matrix to a rotation matrix about the x axis by the passed angle.
rotY(double): Sets the value of this matrix to a rotation matrix about the y axis by the passed angle.
rotZ(double): Sets the value of this matrix to a rotation matrix about the z axis by the passed angle.
set(AxisAngle4d): Sets the value of this matrix to the matrix conversion of the double precision axis and angle argument.
set(AxisAngle4f): Sets the value of this matrix to the matrix conversion of the single precision axis and angle argument.
set(double): Sets the value of this matrix to a scale matrix with the passed scale amount.
set(double[]): Sets the values in this Matrix3d equal to the row-major array parameter (ie, the first three elements of the array will be copied into the first row of this matrix, etc.).
set(Matrix3f): Sets the value of this matrix to the double value of the Matrix3f argument.
set(Quat4d): Sets the value of this matrix to the matrix conversion of the double precision quaternion argument.
set(Quat4f): Sets the value of this matrix to the matrix conversion of the single precision quaternion argument.
setColumn(int, double, double, double): Sets the specified column of this matrix3d to the three values provided.
setColumn(int, double[]): Sets the specified column of this matrix3d to the three values provided.
setColumn(int, Vector3d): Sets the specified column of this matrix3d to the vector provided.
setElement(int, int, double): Sets the specified element of this matrix3f to the value provided.
setIdentity(): Sets this Matrix3d to identity.
setRow(int, double, double, double): Sets the specified row of this matrix3d to the 4 values provided.
setRow(int, double[]): Sets the specified row of this matrix3d to the three values provided.
setRow(int, Vector3d): Sets the specified row of this matrix3d to the Vector provided.
setZero(): Sets this matrix to all zeros.
sub(Matrix3d): Sets the value of this matrix to the matrix difference of itself and matrix m1 (this = this - m1).
sub(Matrix3d, Matrix3d): Sets the value of this matrix to the matrix difference of matrices m1 and m2.
toString(): Returns a string that contains the values of this Matrix3d.
transpose(): Sets the value of this matrix to its transpose.
transpose(Matrix3d): Sets the value of this matrix to the transpose of the argument matrix.

m00

 public double m00

The matrix element that maps x into x'.

m01

 public double m01

The matrix element that maps y into x'.

m02

 public double m02

The matrix element that maps z into x'.

m10

 public double m10

The matrix element that maps x into y'.

m11

 public double m11

The matrix element that maps y into y'.

m12

 public double m12

The matrix element that maps z into y'.

m20

 public double m20

The matrix element that maps x into z'.

m21

 public double m21

The matrix element that maps y into z'.

m22

 public double m22

The matrix element that maps z into z'.

Matrix3d

 public Matrix3d(double m00,
                 double m01,
                 double m02,
                 double m10,
                 double m11,
                 double m12,
                 double m20,
                 double m21,
                 double m22)

Constructs and initializes a Matrix3d from the specified nine values.

Parameters:: m00 - the [0][0] element; m01 - the [0][1] element; m02 - the [0][2] element; m10 - the [1][0] element; m11 - the [1][1] element; m12 - the [1][2] element; m20 - the [2][0] element; m21 - the [2][1] element; m22 - the [2][2] element
Returns:: a new Matrix3d

Matrix3d

 public Matrix3d(double v[])

Constructs and initializes a Matrix3d from the specified nine- element array.

Parameters:: v - the array of length 9 containing in order

Matrix3d

 public Matrix3d(Matrix3d m1)

Constructs a new matrix with the same values as the Matrix3d parameter.

Parameters:: m1 - The source matrix.

Matrix3d

 public Matrix3d(Matrix3f m1)

Constructs a new matrix with the same values as the Matrix3f parameter.

Parameters:: m1 - The source matrix.

Matrix3d

 public Matrix3d()

Constructs and initializes a Matrix3d to all zeros.

toString

 public String toString()

Returns a string that contains the values of this Matrix3d.

Returns:: the String representation
Overrides:: toString in class Object

setIdentity

 public final void setIdentity()

Sets this Matrix3d to identity.

setElement

 public final void setElement(int row,
                              int column,
                              double value)

Sets the specified element of this matrix3f to the value provided.

Parameters:: row - the row number to be modified (zero indexed); column - the column number to be modified (zero indexed); value - the new value

getElement

 public final double getElement(int row,
                                int column)

Retrieves the value at the specified row and column of the specified matrix.

Parameters:: row - the row number to be retrieved (zero indexed); column - the column number to be retrieved (zero indexed); m - The matrix
Returns:: The value at the indexed element.

setRow

 public final void setRow(int row,
                          double x,
                          double y,
                          double z)

Sets the specified row of this matrix3d to the 4 values provided.

Parameters:: row - the row number to be modified (zero indexed); x - the first column element; y - the second column element; z - the third column element

setRow

 public final void setRow(int row,
                          Vector3d v)

Sets the specified row of this matrix3d to the Vector provided.

Parameters:: row - the row number to be modified (zero indexed); v - the replacement row

setRow

 public final void setRow(int row,
                          double v[])

Sets the specified row of this matrix3d to the three values provided.

Parameters:: row - the row number to be modified (zero indexed); v - the replacement row

setColumn

 public final void setColumn(int column,
                             double x,
                             double y,
                             double z)

Sets the specified column of this matrix3d to the three values provided.

Parameters:: column - the column number to be modified (zero indexed); x - the first row element; y - the second row element; z - the third row element

setColumn

 public final void setColumn(int column,
                             Vector3d v)

Sets the specified column of this matrix3d to the vector provided.

Parameters:: column - the column number to be modified (zero indexed); v - the replacement column

setColumn

 public final void setColumn(int column,
                             double v[])

Sets the specified column of this matrix3d to the three values provided.

Parameters:: column - the column number to be modified (zero indexed); v - the replacement column

add

 public final void add(Matrix3d m1,
                       Matrix3d m2)

Sets the value of this matrix to the matrix sum of matrices m1 and m2.

Parameters:: m1 - the first matrix; m2 - the second matrix

add

 public final void add(Matrix3d m1)

Sets the value of this matrix to the sum of itself and matrix m1.

Parameters:: m1 - the other matrix

sub

 public final void sub(Matrix3d m1,
                       Matrix3d m2)

Sets the value of this matrix to the matrix difference of matrices m1 and m2.

Parameters:: m1 - the first matrix; m2 - the second matrix

sub

 public final void sub(Matrix3d m1)

Sets the value of this matrix to the matrix difference of itself and matrix m1 (this = this - m1).

Parameters:: m1 - the other matrix

transpose

 public final void transpose()

Sets the value of this matrix to its transpose.

transpose

 public final void transpose(Matrix3d m1)

Sets the value of this matrix to the transpose of the argument matrix.

Parameters:: m1 - the matrix to be transposed

set

 public final void set(Quat4d q1)

Sets the value of this matrix to the matrix conversion of the double precision quaternion argument.

Parameters:: q1 - the quaternion to be converted

set

 public final void set(AxisAngle4d a1)

Sets the value of this matrix to the matrix conversion of the double precision axis and angle argument.

Parameters:: a1 - the axis and angle to be converted

set

 public final void set(Quat4f q1)

Sets the value of this matrix to the matrix conversion of the single precision quaternion argument.

Parameters:: q1 - the quaternion to be converted

set

 public final void set(AxisAngle4f a1)

Sets the value of this matrix to the matrix conversion of the single precision axis and angle argument.

Parameters:: a1 - the axis and angle to be converted

set

 public final void set(Matrix3f m1)

Sets the value of this matrix to the double value of the Matrix3f argument.

Parameters:: m1 - the matrix3d to be converted to double

set

 public final void set(double m[])

Sets the values in this Matrix3d equal to the row-major array parameter (ie, the first three elements of the array will be copied into the first row of this matrix, etc.).

Parameters:: m - The double precision array of length 9

invert

 public final void invert(Matrix3d m1)

Sets the value of this matrix to the matrix inverse of the passed matrix m1.

Parameters:: m1 - the matrix to be inverted

invert

 public final void invert()

Inverts this matrix in place.

determinant

 public final double determinant()

Computes the determinant of this matrix.

Returns:: the determinant of the matrix

set

 public final void set(double scale)

Sets the value of this matrix to a scale matrix with the passed scale amount.

Parameters:: scale - the scale factor for the matrix

rotX

 public final void rotX(double angle)

Sets the value of this matrix to a rotation matrix about the x axis by the passed angle.

Parameters:: angle - the angle to rotate about the X axis in radians

rotY

 public final void rotY(double angle)

Sets the value of this matrix to a rotation matrix about the y axis by the passed angle.

Parameters:: angle - the angle to rotate about the Y axis in radians

rotZ

 public final void rotZ(double angle)

Sets the value of this matrix to a rotation matrix about the z axis by the passed angle.

Parameters:: angle - the angle to rotate about the Z axis in radians

mul

 public final void mul(Matrix3d m1)

Sets the value of this matrix to the result of multiplying itself with matrix m1.

Parameters:: m1 - the other matrix

mul

 public final void mul(Matrix3d m1,
                       Matrix3d m2)

Sets the value of this matrix to the result of multiplying the two argument matrices together.

Parameters:: m1 - the first matrix; m2 - the second matrix

mulNormalize

 public final void mulNormalize(Matrix3d m1)

Multiplies this matrix by matrix m1, does an SVD normalization of the result, and places the result back into this matrix this = SVDnorm(this*m1).

Parameters:: m1 - the matrix on the right hand side of the multiplication

mulNormalize

 public final void mulNormalize(Matrix3d m1,
                                Matrix3d m2)

Multiplies matrix m1 by matrix m2, does an SVD normalization of the result, and places the result into this matrix this = SVDnorm(m1*m2).

Parameters:: m1 - the matrix on the left hand side of the multiplication; m2 - the matrix on the right hand side of the multiplication

mulTransposeBoth

 public final void mulTransposeBoth(Matrix3d m1,
                                    Matrix3d m2)

Multiplies the transpose of matrix m1 times the transpose of matrix m2, and places the result into this.

Parameters:: m1 - The matrix on the left hand side of the multiplication; m2 - The matrix on the right hand side of the multiplication

mulTransposeRight

 public final void mulTransposeRight(Matrix3d m1,
                                     Matrix3d m2)

Multiplies matrix m1 times the transpose of matrix m2, and places the result into this.

Parameters:: m1 - The matrix on the left hand side of the multiplication; m2 - The matrix on the right hand side of the multiplication

mulTransposeLeft

 public final void mulTransposeLeft(Matrix3d m1,
                                    Matrix3d m2)

Multiplies the transpose of matrix m1 times matrix m2, and places the result into this.

Parameters:: m1 - The matrix on the left hand side of the multiplication; m2 - The matrix on the right hand side of the multiplication

normalize

 public final void normalize()

Performs singular value decomposition normalization of this matrix.

normalize

 public final void normalize(Matrix3d m1)

Perform singular value decomposition normalization of matrix m1 and place the normalized values into this.

Parameters:: m1 - Provides the matrix values to be normalized

normalizeCP

 public final void normalizeCP()

Perform cross product normalization of this matrix.

normalizeCP

 public final void normalizeCP(Matrix3d m1)

Perform cross product normalization of matrix m1 and place the normalized values into this.

Parameters:: m1 - Provides the matrix values to be normalized

equals

 public boolean equals(Matrix3d m1)

Returns true if all of the data members of Matrix3d m1 are equal to the corresponding data members in this Matrix3d.

Parameters:: m1 - The matrix with which the comparison is made.
Returns:: true or false

epsilonEquals

 public boolean epsilonEquals(Matrix3d m1,
                              double epsilon)

Returns true if the L-infinite distance between this matrix and matrix m1 is less than or equal to the epsilon parameter, otherwise returns false. The L-infinite distance is equal to MAX[i=0,1,2 ; j=0,1,2 ; abs(this.m(i,j) - m1.m(i,j)]

Parameters:: m1 - The matrix to be compared to this matrix; epsilon - the threshold value

hashCode

 public int hashCode()

Returns a hash number based on the data values in this object. Two different Matrix3d objects with identical data values (ie, returns true for equals(Matrix3d) ) will return the same hash number. Two objects with different data members may return the same hash value, although this is not likely.

Returns:: the integer hash value
Overrides:: hashCode in class Object

setZero

 public final void setZero()

Sets this matrix to all zeros.

negate

 public final void negate()

Negates the value of this matrix: this = -this.

negate

 public final void negate(Matrix3d m1)

Sets the value of this matrix equal to the negation of of the Matrix3d parameter.

Parameters:: m1 - The source matrix

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